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Finding the Fourth Proportional to 957.12, 1,434.96 and 849.12

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Solution

The fourth proportional to 957.12, 1,434.96 and 849.12 is: 1,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.12 : 1,434.96 = 849.12 : x
  2. Step 2: Convert to fraction form
    957.12/1,434.96 = 849.12/x
  3. Step 3: Cross multiply
    957.12x = 1,434.96 × 849.12
  4. Step 4: Simplify right side
    957.12x = 1,218,453.24
  5. Step 5: Solve for x
    x = 1,218,453.24/957.12
  6. Step 6: Final answer
    x = 1,273.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.